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An object of mass m is submerged complet...

An object of mass m is submerged completely inside water filled in a container kept on a horizontal surface as shown. The object is tied to the bottom of the vessel by a massless, thin thread. In equilibrium, the tension in the thread is T. The relative density of the object is :

A

`(mg-T)/(mg)`

B

`(T)/(mg)`

C

`(mg)/(T)`

D

`(mg)/(mg+T)`

Text Solution

Verified by Experts

The correct Answer is:
D
Let the relative density of the object be x and density of water be `rho`
Then, buoyant force, `B=rhovg=rho(m)/(xrho)g=(mg)/(x)`
In equilibrium, `T+mg=Bimpliesx=(mg)/(mg+T)`
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